Simulating aggregates of bivalents in 2n = 40 mouse meiotic spermatocytes through inhomogeneous site percolation processes

Processus de percolation non homogène pour la simulation des grappes de chromosomes bivalents durant la méiose chez la souris "mus domesticus 2n=40"

Soledad Berríos (1) , Julio Lopez Fenner (2) , Aude Maignan (3)

1 UCHILE - Universidad de Chile = University of Chile [Santiago]
2 UFRO - Universidad de la frontera [Tecumo, Chile] = University of La Frontera [Tecumo, Chile] = Université de La Frontera [Tecumo, Chili]
3 CASYS - Calculs Algébriques et Systèmes Dynamiques

We show that an inhomogeneous Bernoulli site percolation process running upon a fullerene’s dual $C'_{1200}$ can be used for representing bivalents attached to the nuclear envelope in mouse Mus M. Domesticus 2n = 40 meiotic spermatocytes during pachytene. It is shown that the induced clustering generated by overlapping percolation domains correctly reproduces the probability distribution observed in the experiments (data) after fine tuning the parameters.

Mots clés: Fullerene; Mus M Domesticus 2n=40 meiotic spermatocytes; Inhomogeneous percolation

Domaines: Mathématiques [math]; Science non linéaire [physics]; Biologie cellulaire; Bio-Informatique, Biologie Systémique [q-bio.QM]; Modélisation et simulation; Mathématique discrète [cs.DM]

Soledad Berríos, Julio Lopez Fenner, Aude Maignan. Simulating aggregates of bivalents in 2n = 40 mouse meiotic spermatocytes through inhomogeneous site percolation processes. Journal of Mathematical Biology, 2018, 77 (5), pp.1341-1362. ⟨10.1007/s00285-018-1254-6⟩. ⟨hal-01814944⟩